136 citations · 1.1k across the 60 of their papers we have counts for
8 papers · 1 filter
Deterministic force-free resonant activation
Karol Capała, Bartłomiej Dybiec
Combined action of noise and deterministic force in dynamical systems can induce resonant effects. Here, we demonstrate a minimal, deterministic-force-free, setup allowing for occu…
Trapped by the drift
Piotr Kubala, Michał Cieśla, Bartłomiej Dybiec
The diffusion type is determined not only by microscopic dynamics but also by the environment properties. For example, the environment's fractal structure is responsible for the em…
Lévy noise-driven escape from arctan potential wells
Karol Capala, Amin Padash, Aleksei V. Chechkin +3
The escape from a potential well is an archetypal problem in the study of stochastic dynamical systems, representing real-world situations from chemical reactions to leaving an est…
Underdamped, anomalous kinetics in double-well potentials
Karol Capała, Bartłomiej Dybiec
The noise driven motion in a bistable potential acts as the archetypal model of various physical phenomena. Here, we contrast the overdamped dynamics with the full (underdamped) dy…
First passage time moments of asymmetric Lévy flights
Amin Padash, Aleksei V. Chechkin, Bartłomiej Dybiec +3
We investigate the first-passage dynamics of symmetric and asymmetric Lévy flights in a semi-infinite and bounded intervals. By solving the space-fractional diffusion equation, we…
Nonlinear friction in underdamped anharmonic stochastic oscillators
Karol Capała, Bartłomiej Dybiec, Ewa Gudowska-Nowak
Stationary states of overdamped anharmonic stochastic oscillators driven by Lévy noise are typically multimodal. The very same situation is recorded for an underdamped Lévy noise d…
Energy partition for anharmonic, undamped, classical oscillators
Michal Mandrysz, Bartlomiej Dybiec
Using stochastic methods, general formulas for average kinetic and potential energies for anharmonic, undamped (frictionless), classical oscillators are derived. It is demonstrated…
Bounding energy growth in friction-less stochastic oscillators
Michał Mandrysz, Bartłomiej Dybiec
The paper presents analytical and numerical results on energetics of non-harmonic, undamped, single-well, stochastic oscillators driven by additive Gaussian white noises. Absence o…